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Finding the Fourth Proportional to 25,295.54, 37,962.28 and 9,516.10

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Solution

The fourth proportional to 25,295.54, 37,962.28 and 9,516.10 is: 14,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,295.54 : 37,962.28 = 9,516.10 : x
  2. Step 2: Convert to fraction form
    25,295.54/37,962.28 = 9,516.10/x
  3. Step 3: Cross multiply
    25,295.54x = 37,962.28 × 9,516.10
  4. Step 4: Simplify right side
    25,295.54x = 361,252,852.71
  5. Step 5: Solve for x
    x = 361,252,852.71/25,295.54
  6. Step 6: Final answer
    x = 14,281.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.